Weibull Accelerated Life Tests When There Are Competing Causes of Failure.
MISSOURI UNIV-COLUMBIA DEPT OF STATISTICS
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Accelerated life testing of a product under more severe than normal conditions is commonly used to reduce test time and costs. Data collected at such accelerated conditions are used to obtain estimates of the parameters of a stress translation function. This function is then used to make inference about the products life under normal operating conditions. We consider the problem of accelerated life tests when the product of interest is a p component series system. Each of the components is assumed to have an independent Weibull time to failure distribution with different shape parameters and different scale parameters which are increasing functions of the stress. A general model is used for the scale parameter which includes the standard engineering models as special cases. This model also has an appealing biological interpretation. Maximum likelihood estimators of the component parameters are obtained for type I, type II, and progressive censoring. These estimators are used to obtain estimators of the probability of component and system survival under normal operating conditions. This method is illustrated by an example. Author
- Statistics and Probability
- Operations Research
- Manufacturing and Industrial Engineering and Control of Production Systems